From divergent power series to analytic functions. Theory and application of multisummable power series
zbMath0810.34046MaRDI QIDQ1332324
Publication date: 11 September 1994
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
decompositionCauchy-Heine transformsformal solutions to nonlinear ordinary differential equationsmultisummable power series
Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Power series (including lacunary series) in one complex variable (30B10) Laplace transform (44A10) Ordinary differential equations in the complex domain (34M99) Asymptotic expansions of solutions to ordinary differential equations (34E05) Asymptotic representations in the complex plane (30E15) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
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